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Finding the Fourth Proportional to 1,214.34, 1,820.08 and 563.71

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Solution

The fourth proportional to 1,214.34, 1,820.08 and 563.71 is: 844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.34 : 1,820.08 = 563.71 : x
  2. Step 2: Convert to fraction form
    1,214.34/1,820.08 = 563.71/x
  3. Step 3: Cross multiply
    1,214.34x = 1,820.08 × 563.71
  4. Step 4: Simplify right side
    1,214.34x = 1,025,997.30
  5. Step 5: Solve for x
    x = 1,025,997.30/1,214.34
  6. Step 6: Final answer
    x = 844.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.